Question

The side lengths in yards of a triangle and a square are shown in the diagram.


Screenshot 2023-10-31 131337.jpg


The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?

Answer 1

To find the value of x, we can start by calculating the perimeter of the triangle and the square.

Perimeter of a triangle = x + 3 + 6 = x + 9
Perimeter of a square = 4x

Since the perimeter of the triangle is equal to the perimeter of the square, we can set the two expressions equal to each other:

x + 9 = 4x

Now, solve for x:

9 = 3x
x = 3

Therefore, the value of x is 3.